5.2 Making Tables on a Calculator 10-11

M.F
Math 7B
October 8th, 2010

Big Idea: Observation and description of changes in the world around us are the first steps in finding and learning about patterns.

Investigation 5 Essential Question: How can a graphing calculator help me discover relationships between different variables?

Problem 5.2 Making Tables on a Calculator

Notes:

-Substitution and 5.2 are connected because you're basically changing the value of x to get a different value for y.

-Like a number machine, you put in a number and you get a different one out.

A) 1. Use your calculator to make a table for the equation y=3x.


2. Copy part of the calculator’s graph onto your paper.

X	Y
0	0
1	3
2	6
3	9
4	12
5	15
6	18

3. Use your table to find y if x=5.
If x=5, then y=15

B) 1. Use your calculator to make a table for the equation y=3x.

2. Copy part of the calculator’s table onto your paper.

X	Y
0	2
1	2.5
2	3
3	3.5
4	4
5	4.5
6	5

3. Use your table to find y if x=5.

If x=5, then y=4.5

Problem 5.2 Follow Up

1. Use your calculator to make a graph for the equation y=3x. Describe the graph.

The graph is pretty steep and diagonal.

2. Use your calculator to make a graph for the equation y=0.5x +2. Describe the graph.

The graph is pretty flat, so it’s not very steep. In the third quadrant it starts at 2, goes through the first quadrant and ends in the second.

3. How do the graphs for questions 1 and 2 compare?

The graph that shows y=3x is steeper while the graph that shows y=0.5x +2 is more flat.

4. How would you make a graph for the equations y=3x and y=0.5x +2 without a graphing calculator?

I would first try to make a table without using the graphing calculator and then I would try to make it into a graph.